Detecting Topological Order in a Ground State Wave Function

Journal Article · Fri Mar 24 00:00:00 EST 2006 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.96.110405· OSTI ID:20777101

Levin, Michael; Xiaogang, Wen ^[1]

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1. Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)

A large class of topological orders can be understood and classified using the string-net condensation picture. These topological orders can be characterized by a set of data (N,d{sub i},F{sub lmn}{sup ijk},{delta}{sub ijk}). We describe a way to detect this kind of topological order using only the ground state wave function. The method involves computing a quantity called the 'topological entropy' which directly measures the total quantum dimension D=id{sub i}{sup 2}.

• OSTI ID: 20777101
• Journal Information: Physical Review Letters, Vol. 96, Issue 11; Other Information: DOI: 10.1103/PhysRevLett.96.110405; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ENTROPY
FERMIONS
GROUND STATES
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
TOPOLOGY
WAVE FUNCTIONS